The Netherlands international, who has been struggling with groin and toe injuries, has been absent since notching the winner against former club Arsenal in a 1-0 triumph at Old Trafford on November 10.
Van Persie - who has seven Premier League goals to his name this season - travelled with the squad for their 2-2 draw at Tottenham on Sunday but was deemed not fit enough to join the matchday squad.
"Robin is okay," he said. "He has a chance of playing."
He added: "I had a great time at Everton, they were fabulous to me. Overall we had a (good) level of consistency.
"I think it will be a mixed reception tomorrow night. The Everton fans understand their football and I think they'll understand I brought in a lot of good players there.
"He (Martinez) is doing a very good job. He has very good players there. I always told them they could play without a manager because they are very well organised. But Roberto is doing a really good job keeping it going."
United have recorded 2-2 draws in their last two Premier League matches at Cardiff City and Tottenham, and are on a seven-match unbeaten run in the top flight.
"The job is to keep it going, keep winning and keep on a good run of form," he commented.
"We've done that but as I've repeated myself many times we let in a late goal at Cardiff which turned what would have been a really good week into one that wasn't quite as good as we would have liked."
